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Finding the Fourth Proportional to 1,278.90, 1,918.44 and 457.08

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Solution

The fourth proportional to 1,278.90, 1,918.44 and 457.08 is: 685.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.90 : 1,918.44 = 457.08 : x
  2. Step 2: Convert to fraction form
    1,278.90/1,918.44 = 457.08/x
  3. Step 3: Cross multiply
    1,278.90x = 1,918.44 × 457.08
  4. Step 4: Simplify right side
    1,278.90x = 876,880.56
  5. Step 5: Solve for x
    x = 876,880.56/1,278.90
  6. Step 6: Final answer
    x = 685.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.